Full list of non-zero Kazhdan-Lusztig-Vogan polynomials:

 0:  0: 1

 1:  0: 1
     1: 1

 2:  1: 1
     2: 1

 3:  1: 1
     3: 1

 4:  2: 1
     4: 1

 5:  1: 1
     2: 1
     3: 1
     5: 1

 6:  4: 1
     6: 1

 7:  2: 1
     4: 1
     5: 1
     7: 1

 8:  0: q
     1: q
     5: 1
     8: 1

 9:  4: 1
     6: 1
     7: 1
     9: 1

10:  5: 1
     7: 1
     8: 1
    10: 1

11:  6: 1
    11: 1

12:  7: 1
     9: 1
    10: 1
    12: 1

13:  3: q
     5: q
    10: 1
    13: 1

14:  6: 1
     9: 1
    11: 1
    14: 1

15: 11: 1
    15: 1

16: 10: 1
    12: 1
    13: 1
    16: 1

17:  9: 1
    12: 1
    14: 1
    17: 1

18: 11: 1
    14: 1
    15: 1
    18: 1

19: 15: 1
    19: 1

20:  8: q
    10: q
    16: 1
    20: 1

21: 12: 1
    16: 1
    17: 1
    21: 1

22: 14: 1
    17: 1
    18: 1
    22: 1

23: 15: 1
    18: 1
    19: 1
    23: 1

24: 19: 1
    24: 1

25: 16: 1
    20: 1
    21: 1
    25: 1

26: 17: 1
    21: 1
    22: 1
    26: 1

27: 18: 1
    22: 1
    23: 1
    27: 1

28: 19: 1
    23: 1
    24: 1
    28: 1

29: 24: 1
    29: 1

30: 21: 1
    25: 1
    26: 1
    30: 1

31: 22: 1
    26: 1
    27: 1
    31: 1

32: 13: q
    16: q
    25: 1
    32: 1

33: 23: 1
    27: 1
    28: 1
    33: 1

34: 24: 1
    28: 1
    29: 1
    34: 1

35: 29: 1
    35: 1

119 nonzero polynomials, and 322 zero polynomials,
 at 441 Bruhat-comparable pairs.